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Finding the Fourth Proportional to 315,882, 435,910.69 and 172,643.09

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Solution

The fourth proportional to 315,882, 435,910.69 and 172,643.09 is: 238,243.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,882 : 435,910.69 = 172,643.09 : x
  2. Step 2: Convert to fraction form
    315,882/435,910.69 = 172,643.09/x
  3. Step 3: Cross multiply
    315,882x = 435,910.69 × 172,643.09
  4. Step 4: Simplify right side
    315,882x = 75,256,966,521.88
  5. Step 5: Solve for x
    x = 75,256,966,521.88/315,882
  6. Step 6: Final answer
    x = 238,243.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.